SELECT ALL THAT APPLY.
-Margin of error
A)refers to confidence intervals.
B)is equal to standard error of the mean.
C)is equal to standard error of the proportion.
D)is the radius of confidence intervals.

Question

Quizplus · Accepted Answer

Margin of error refers to the range of values within which the true population parameter is likely to lie, with a certain level of confidence. This range is defined by the confidence interval, which is calculated using the sample data and the margin of error. Therefore, A is correct. Furthermore, the margin of error is equal to half the width of the confidence interval, or the radius of the interval. Therefore, D is also correct. On the other hand, B is incorrect because the standard error of the mean refers to the variability of sample means, while the margin of error refers to the variability of population parameters. Similarly, C is incorrect because the standard error of the proportion refers to the variability of sample proportions, while the margin of error refers to the variability of population parameters.